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/content/aip/journal/adva/6/9/10.1063/1.4962665
1.
A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, [third edition] (Artech House, Norwood, MA, 2005).
2.
N. N. Yanenko, The Method of Fractional Steps (Springer-Verlag, 1971).
3.
V. K. Srivastava, M. K. Awasthi, and S. Singh, “An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation,” AIP Advances 3, 122105 (2013).
http://dx.doi.org/10.1063/1.4842595
4.
V. K. Srivastava, S. Singh, and M. K. Awasthi, “Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme,” AIP Advances 3, 082131 (2013).
http://dx.doi.org/10.1063/1.4820355
5.
V. K. Srivastava, M. Tamsir, M. K. Awasthi, and S. Singh, “One-dimensional coupled Burgers’ equation and its numerical solution by an implicit logarithmic finite-difference method,” AIP Advances 4, 037119 (2014).
http://dx.doi.org/10.1063/1.4869637
6.
V. K. Srivastava, M. Tamsir, U. Bhardwaj, and Y. V. S. S. Sanyasiraju, “Crank-Nicolson Scheme for Numerical Solutions of Two-dimensional Coupled Burgers’ Equations,” International Journal of Scientific & Engineering Research 2(5) (2011).
7.
J. Crank and P. Nicolson, “A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type,” Proc. Camb. Phil. Soc. 43(1), 5067 (1947).
http://dx.doi.org/10.1017/S0305004100023197
8.
J. W. Thomas, Numerical Partial Differential Equations: Finite Difference Methods, Texts in Applied Mathematics 22, (Spinger-Verlag, 1995).
9.
N. Marcuvitz, Waveguide Handbook, IEE ELECTROMAGNETIC WAVES SERIES 21 (1986).
10.
International commission on non-ionizing radiation protection (ICNIRP). “Guidelines for limiting exposure to time-varying eletric, magnetic, and electromagnetic fields (up to 300 GHz),” Health Phys. 74(4), 494522 (1998).
11.
W. Cen and N. Gu, “Efficient solution on solving 3D Maxwell equations using stable semi-implicit splitting method,” AIP Advances 6, 055005 (2016).
http://dx.doi.org/10.1063/1.4948771
12.
R. D. Richtmyer and K. W. Morton, Difference Methods for Initial Value Problems, 2nd. ed. (Wiley, New York, 1967).
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/content/aip/journal/adva/6/9/10.1063/1.4962665
2016-09-08
2016-12-07

Abstract

In this paper, we proposed a method to numerically determinate 3-dimensional thermal response due to electromagnetic exposure quickly and accurately. Due to the stability criterion the explicit finite-difference time-domain (FDTD) method works fast only if the spatial step is not set very small. In this paper, the semi-implicit Crank-Nicholson method for time domain discretization with unconditional time stability is proposed, where the idea of fractional steps method was utilized in 3-dimension so that an efficient numerical implementation is obtained. Compared with the explicit FDTD, with similar numerical precision, the proposed method takes less than 1/200 of the execution time.

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